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Finding the Fourth Proportional to 185,029, 255,339.54 and 100,146.04

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Solution

The fourth proportional to 185,029, 255,339.54 and 100,146.04 is: 138,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,029 : 255,339.54 = 100,146.04 : x
  2. Step 2: Convert to fraction form
    185,029/255,339.54 = 100,146.04/x
  3. Step 3: Cross multiply
    185,029x = 255,339.54 × 100,146.04
  4. Step 4: Simplify right side
    185,029x = 25,571,243,786.42
  5. Step 5: Solve for x
    x = 25,571,243,786.42/185,029
  6. Step 6: Final answer
    x = 138,201.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.